Information on Result #1832151
OOA(3295, 4194817, S32, 2, 17), using (u, u+v)-construction based on
- linear OOA(3217, 516, F32, 2, 8) (dual of [(516, 2), 1015, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3217, 1032, F32, 8) (dual of [1032, 1015, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(4) [i] based on
- linear OA(3215, 1024, F32, 8) (dual of [1024, 1009, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(329, 1024, F32, 5) (dual of [1024, 1015, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(322, 8, F32, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,32)), using
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), using
- Reed–Solomon code RS(30,32) [i]
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), using
- construction X applied to Ce(7) ⊂ Ce(4) [i] based on
- OOA 2-folding [i] based on linear OA(3217, 1032, F32, 8) (dual of [1032, 1015, 9]-code), using
- OOA(3278, 4194301, S32, 2, 17), using
- OOA 2-folding [i] based on OA(3278, 8388602, S32, 17), using
- discarding factors based on OA(3278, large, S32, 17), using
- discarding parts of the base [i] based on linear OA(6465, large, F64, 17) (dual of [large, large−65, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- discarding parts of the base [i] based on linear OA(6465, large, F64, 17) (dual of [large, large−65, 18]-code), using
- discarding factors based on OA(3278, large, S32, 17), using
- OOA 2-folding [i] based on OA(3278, 8388602, S32, 17), using
Mode: Constructive.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | OOA(3295, 1048704, S32, 18, 17) | [i] | OOA Folding and Stacking with Additional Row | |